Find the distance between the origin and the point :
(-8, 6)

Answer

To find the distance between the origin (0, 0) and the point (-8, 6), we can use the distance formula. The distance formula is given by:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Where:
- \((x_1, y_1)\) is the first point (the origin in this case),
- \((x_2, y_2)\) is the second point (-8, 6).

### Step 1: Identify the points
- Let the origin be point A: \((x_1, y_1) = (0, 0)\)
- Let the point (-8, 6) be point B: \((x_2, y_2) = (-8, 6)\)

### Step 2: Substitute the coordinates into the distance formula
Using the distance formula:

\[ d = \sqrt{((-8) - 0)^2 + (6 - 0)^2} \]

### Step 3: Simplify the expression
Calculate the differences:

\[ d = \sqrt{(-8)^2 + (6)^2} \]

### Step 4: Calculate the squares
Now calculate the squares:

\[ d = \sqrt{64 + 36} \]

### Step 5: Add the squares
Add the results:

\[ d = \sqrt{100} \]

### Step 6: Calculate the square root
Now take the square root:

\[ d = 10 \]

### Final Answer
The distance between the origin and the point (-8, 6) is **10 units**.

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